8(x+2)-7x=3(x-2)+2

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Solution for 8(x+2)-7x=3(x-2)+2 equation: 


Simplifying
8(x + 2) + -7x = 3(x + -2) + 2

Reorder the terms:
8(2 + x) + -7x = 3(x + -2) + 2
(2 * 8 + x * 8) + -7x = 3(x + -2) + 2
(16 + 8x) + -7x = 3(x + -2) + 2

Combine like terms: 8x + -7x = 1x
16 + 1x = 3(x + -2) + 2

Reorder the terms:
16 + 1x = 3(-2 + x) + 2
16 + 1x = (-2 * 3 + x * 3) + 2
16 + 1x = (-6 + 3x) + 2

Reorder the terms:
16 + 1x = -6 + 2 + 3x

Combine like terms: -6 + 2 = -4
16 + 1x = -4 + 3x

Solving
16 + 1x = -4 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
16 + 1x + -3x = -4 + 3x + -3x

Combine like terms: 1x + -3x = -2x
16 + -2x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -2x = -4 + 0
16 + -2x = -4

Add '-16' to each side of the equation.
16 + -16 + -2x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -4 + -16
-2x = -4 + -16

Combine like terms: -4 + -16 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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